for droplet density \(n\, (\propto {1}/{{\ell }^d}\) ), provides \(\alpha ={1}/{d}\) . In Eq. (REF ), \(D\)  is a diffusion constant, having dependence upon \(\ell \) . It is expected that \(D\ell \)  will remain a constant, during the growth period, in accordance with the generalized Stokes-Einstein-Sutherland [1]}, [2]}, [3]} relation. In \(d=3\) , the BS value is same as the LS exponent. The difference in the mechanisms is expected to be captured in the amplitudes of growth, this being larger for the BS case. The ratio of the amplitudes for the two mechanisms is supposed to follow the relation [4]}, [5]}
\(\frac{A_{BS}}{A_{LS}}=K\phi ^{1/3},\) 
